Qm q6.) write the slope-intercept equation of the function f whose graph satisifies the given conditions.

Greetings!

The equation of a line in slope-intercept form is:

y = mx + b

m is the slope
b is the y- intercept

What we need to do is to re-arrange 2x - 9y - 18 = 0. We wanna make it looks like y = mx + b

So, the equation is:

2x - 9y - 18 = 0

Subtract 2x - 18 from both sides

→ -9y = -2x + 18

Since we want y, we need to divide both sides by -9



Thus,

y = 2/9 x - 2 which is in the slope intercept form

Slope m = 2/9 and the y-intercept is = - 2

Given a line with slope m then the slope of a line perpendicular is:



  = - 9/2

Thus,

The equation of the function is:



Let me know if you have questions about the answer. As always, it is my pleasure to help students like you!

The correct graph is the second one, with the points being at (-6,0), (2,0) and reaching down to (-2,-8)